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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

For 2x2−4x+k=02x^2 - 4x + k = 0 to have two distinct real solutions, kk must satisfy:

  • A

    k<2k < 2

    check_circle
  • B

    k≤2k \le 2

  • C

    k=2k = 2

  • D

    k>2k > 2

Explanation

Discriminant >0> 0: 16−8k>016 - 8k > 0, k<2k < 2.

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